Greatest Common Factor of 885/720, 300/383, 348/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 885/720, 300/383, 348/972

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 885/720,300/383,348/972

Given fractions are 885/720,300/383,348/972

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 885,300,348

Greatest Common Factor of Numerators i.e. GCF of 885,300,348 is 3 .

LCM of Denominators means LCM of 720,383,972 as per the given fractions.

LCM of 720,383,972 is 7445520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 885,300,348

GCF of Fractions 885/720,300/383,348/972 is 3/7445520

3 885, 300, 348
295, 100, 116

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 885,300,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,300,348 By Matching Biggest Common Factor Method

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 885,300,348 . The biggest common factor number is the GCF number.
So the greatest common factor 885,300,348 is 3.

Lets's calculate LCM of 720,383,972

2 720, 383, 972
2 360, 383, 486
3 180, 383, 243
3 60, 383, 81
20, 383, 27

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 20 x 383 x 27 = 7445520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7445520

Therefore, the GCF of Fractions 885/720,300/383,348/972 is 3/7445520

Least Common Multiple of 720,383,972 with GCF Formula

Least Common Multiple of 720,383,972 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 720,383,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,383,972) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(720,383,972) x common factors =1 x 36 = 36

LCM(720,383,972) = ( 720 × 383 × 972 ) / 36

LCM(720,383,972) = 268038720 / 36

LCM(720,383,972) = 7445520


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 885/720, 300/383, 348/972

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 885/720, 300/383, 348/972?

Answer: GCF of Numerators as per given numbers 885/720, 300/383, 348/972 is

GCF of Numerators i.e. for 885,300,348 is 3

LCM of denominators i.e. for 720,383,972 is 7445520.

Thus, GCF of Fractions is 3/7445520.Finally, GCF of Fractions for 885/720, 300/383, 348/972 is 3/7445520.